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determine the temperature required for a 0.0153 mol of gas to fill a balloon to 1.37 L under 0.992 atm pressure

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Final answer:

The temperature required for the gas to fill the balloon is approximately 89.9 Kelvin.

Step-by-step explanation:

To determine the temperature required for the gas to fill the balloon, we can use the ideal gas law equation:

PV = nRT

Where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

Given that there are 0.0153 mol of gas, a volume of 1.37 L, and a pressure of 0.992 atm, we can rearrange the equation to solve for T:

T = PV / (nR)

Substituting in the values given:

T = (0.992 atm)(1.37 L) / (0.0153 mol)(0.0821 L atm/mol K)

T = 89.9 K

Therefore, the temperature required for the gas to fill the balloon is approximately 89.9 Kelvin.

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